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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN"><HTML><HEAD><TITLE>A Numerical Tour of Signal Processing</TITLE><META http-equiv=Content-Type content="text/html"><LINK REL="stylesheet" HREF="style.css" TYPE="text/css"></HEAD><BODY bgColor=#FFFFFF><h1 align="center"><font size="+3"><b>A Numerical Tour </b></font></h1><h1 align="center"><font size="+3"><b>of Signal Processing </b></font></h1> <blockquote> <blockquote> <blockquote> <blockquote> <blockquote> <blockquote> <blockquote> <blockquote> <p align="center"><em><strong>by <a href="http://www.ceremade.dauphine.fr/%7Epeyre/">Gabriel Peyré</a></strong></em></p> <p align="center">This web page gathers numerical experiments that illustrate the book of Stephane Mallat<br/> <em>A Wavelet Tour of Signal Processing - Third Edition: The Sparse Way.</em> </p> </blockquote> </blockquote> </blockquote> </blockquote> </blockquote> </blockquote> </blockquote></blockquote><table width="0%" border="0" align="center"> <tr> <td><div align="right"><img src="images/cover.jpg" align="right"></div></td> <td><p><em>A Wavelet Tour of Signal Processing.<br> Third Edition: The Sparse Way.</em><br> Stéphane Mallat.<br> Academic Press, dec. 2008.</p> <p align="center">[<a href="http://www.amazon.com/Wavelet-Tour-Signal-Processing-Third/dp/0123743702">Order now</a>]</p> </td> </tr></table><p> </p><div align="center">- Introduction - </div><table width="80%" border="0" align="center" cellspacing="5"> <tr> <td width="30%"><div align="right">Intro #1</div></td> <td>-</td> <td width="70%"><a href="basics/">Basics of Matlab/Scilab Programming</a></td> </tr></table><br/><div align="center">- Image Processing - </div><table width="80%" border="0" align="center" cellspacing="5"> <tr> <td width="30%"><div align="right">Images #1</div></td> <td>-</td> <td width="70%"><a href="image_introduction/">Introduction to Image Processing</a></td> </tr> <tr> <td><div align="right">Images #2</div></td> <td>-</td> <td><a href="image_heat/">Edge Detection and Heat Diffusion</a></td> </tr></table><br/><div align="center">- Audio Processing - </div><table width="80%" border="0" align="center" cellspacing="5"> <tr> <td width="30%"><div align="right">Audio #1</div></td> <td>-</td> <td><a href="audio_processing/">Audio Processing with the Short Time Fourier Transform</a></td> </tr> <tr> <td><div align="right">Audio #2</div></td> <td>-</td> <td><a href="audio_separation/">Audio Separation with Sparsity</a></td> </tr></table><br/><div align="center">- Wavelet Processing - </div><table width="80%" border="0" align="center" cellspacing="5"> <tr> <td width="30%"><div align="right">Wavelets #1</div></td> <td>-</td> <td width="70%"><a href="wavelet_introduction/">Introduction to Wavelet Processing</a></td> </tr> <tr> <td><div align="right">Wavelets #2</div></td> <td>-</td> <td><a href="wavelet_approximation/">Image Approximation with Wavelets</a></td> </tr></table><br/><div align="center">- Denoising - </div><table width="80%" border="0" align="center" cellspacing="5"> <tr> <td width="30%"><div align="right">Denoising #1</div></td> <td>-</td> <td width="70%"><a href="denoising_linear/">Image Denoising with Linear Methods</a></td> </tr> <tr> <td><div align="right">Denoising #2</div></td> <td>-</td> <td><a href="denoising_wavelet/">Image Denoising with Wavelets</a></td> </tr></table><br/><div align="center">- Coding and Compression - </div><table width="80%" border="0" align="center" cellspacing="5"> <tr> <td width="30%"><div align="right">Coding #1</div></td> <td>-</td> <td width="70%"><a href="coding_entropic/">Entropic Coding</a></td> </tr> <tr> <td><div align="right">Coding #2</div></td> <td>-</td> <td><a href="coding_natural_images/">Statistics of Natural Images</a></td> </tr> <tr> <td><div align="right">Coding #3</div></td> <td>-</td> <td><a href="coding_wavelet_compression/">Wavelet Image Compression</a></td> </tr></table><br/><div align="center">- Total Variation - </div><table width="80%" border="0" align="center" cellspacing="5"> <tr> <td width="30%"><div align="right">TV #1</div></td> <td>-</td> <td width="70%"><a href="tv_median/">Outliers and Median Denoiser</a></td> </tr> <tr> <td><div align="right">TV #2</div></td> <td>-</td> <td><a href="tv_minimization/">Total Variation Minimization</a></td> </tr></table><br/><div align="center">- Sparsity and Redundant Representations- </div><table width="80%" border="0" align="center" cellspacing="5"> <tr> <td width="30%"><div align="right">Sparsity #1</div></td> <td>-</td> <td width="70%"><a href="sparsity_seismic_mp/">Sparse Spikes Deconvolution with Matching Pursuit</a></td> </tr> <tr> <td><div align="right">Sparsity #2</div></td> <td>-</td> <td><a href="sparsity_seismic_bp/">Sparse Spikes Deconvolution with Basis Pursuit</a></td> </tr> <tr> <td><div align="right">Sparsity #3</div></td> <td>-</td> <td><a href="sparsity_gabor/">Audio Pursuits in a Gabor Dictionary</a></td> </tr></table><br/><div align="center">- Inverse Problem and Compressive Sensing - </div><table width="80%" border="0" align="center" cellspacing="5"> <tr> <td width="30%"><div align="right">Inverse Problems #1</div></td> <td>-</td> <td width="70%"><a href="inverse_inpainting/">Variational Image Inpainting</a></td> </tr> <tr> <td><div align="right">Inverse Problems #2</div></td> <td>-</td> <td><a href="inverse_tomography/">Reconstruction from Partial Tomography Measurements</a></td> </tr> <tr> <td><div align="right">Inverse Problems #3</div></td> <td>-</td> <td><a href="inverse_compressed_sensing">Compressed Sensing</a></td> </tr> <tr> <td><div align="right">Inverse Problems #4</div></td> <td>-</td> <td><a href="inverse_cs_fourier/">Reconstruction from Compressive Fourier Measurements</a></td> </tr></table><br/><blockquote> <blockquote> <blockquote> <blockquote> <p align="justify"><em><strong>How to use these numerical tours</strong></em>: Each tour is a set of experiments that can be performed using either <a href="http://www.mathworks.com">Matlab</a> or <a href="http://www.scilab.org/">Scilab</a>. At the beginning of each tour, you are asked to download and install the required toolboxes (there exists three toolboxes: general/signal/graph), that contain many useful helper functions. Each tour alternates between code you can copy/paste in Matlab or Scilab, and exercises you need to solve on your own.</p> <p align="justify"><em><strong>Solutions of the numerical exercises:</strong></em>: If you are a teacher and would like to have access to the Matlab files that contain the solution of the numerical exercises, please send me an <a href="mailto:gabriel.peyre.nospam at ceremade.dauphine.fr">e-mail</a>. </p> </blockquote> </blockquote> </blockquote></blockquote><p> </p><p> </p><p align="right">Copyright © 2008 <a href="http://www.ceremade.dauphine.fr/%7Epeyre/">Gabriel Peyré</a></p></BODY></HTML>?? 快捷鍵說明
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